We'll use the Pythagorean Theorem to solve this problem.
We know that the Pythagorean Theorem is the following:
[tex] a^{2} + b^{2} =c^{2} [/tex]
where c is the hypotenuse (the side opposite the right angle), and a and b are the legs of the triangle.
To solve, we just have to input what we know. The two legs of the triangle are 60 and 100, so we just have to plug these values in and solve.
[tex]60^{2} + 100^{2} = c^{2} [/tex]
[tex]3600 + 10000 = c^{2} [/tex]
[tex]13600= c^{2} [/tex]
So we know that the distance from one corner of the playing field to the opposite corner is the square root of 13,600 yards.
When we plug this into a calculator, we get
[tex] \sqrt{13600} [/tex] ≈ 116.619...
which, when rounded up to the nearest whole number, is 117.
The approximate distance from one corner of the soccer field to the opposite corner is 117 yards.
Hope that helped! =)
